Two stretched membranes of area $2\, cm^2$ and $3\, cm^2$ are placed in a liquid at the same depth. The ratio of pressures on them is

$A$ liquid $X$ of density $3.36 \ g/cm^3$ is poured into a $U$-tube, which contains $Hg$. Another liquid $Y$ is poured into the left arm with a height of $8 \ cm$. The upper levels of $X$ and $Y$ are at the same height. What is the density of $Y$ in $g/cc$?

Two communicating vessels contain mercury. The diameter of one vessel is $n$ times larger than the diameter of the other. $A$ column of water of height $h$ is poured into the left vessel. The mercury level will rise in the right-hand vessel ($s =$ relative density of mercury and $\rho =$ density of water) by

Why is it difficult to cook on hills?

$A$ $U$-tube having a horizontal arm of length $20 \ cm$ has a uniform cross-sectional area of $1 \ cm^2$. It is filled with water of volume $60 \ cc$. What volume of a liquid of density $4 \ g/cc$ should be poured from one side into the $U$-tube so that no water is left in the horizontal arm of the tube? (Answer in $cc$)

$A$ $U$ tube with both ends open to the atmosphere is partially filled with water. Oil,which is immiscible with water,is poured into one side until it stands at a distance of $10\, mm$ above the water level on the other side. Meanwhile,the water rises by $65\, mm$ from its original level (see diagram). The density of the oil is ......... $kg/m^3$.